Prikladnaya Mekhanika i Tekhnicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Prikl. Mekh. Tekh. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 4, Pages 28–32 (Mi pmtf1762)  
Three-dimensional motion of a viscous incompressible fluid in a narrow tube

A. E. Medvedev

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (166 kB)
Abstract: An approximate solution of the problem of unsteady motion of a viscous incompressible fluid in a long narrow deformable tube at low Reynolds numbers is obtained. Pressure oscillations and tube deformation are shown to be related by an integrodifferential equation. The solution obtained extends the Poiseuille solution in elliptic tubes to the case of comparatively arbitrary small deformations in terms of the tube length and angle.
Keywords: viscous incompressible fluid, Navier–Stokes equations, analytical solution, Poiseuille flow.
Received: 09.06.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 4, Pages 566–569
DOI: https://doi.org/10.1007/s10808-009-0076-0
Bibliographic databases:
Document Type: Article
UDC: 532.516 + 517.958:532.5
Language: Russian
Citation: A. E. Medvedev, “Three-dimensional motion of a viscous incompressible fluid in a narrow tube”, Prikl. Mekh. Tekh. Fiz., 50:4 (2009), 28–32; J. Appl. Mech. Tech. Phys., 50:4 (2009), 566–569
Citation in format AMSBIB
\Bibitem{Med09}
\by A.~E.~Medvedev
\paper Three-dimensional motion of a viscous incompressible fluid in a narrow tube
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 4
\pages 28--32
\mathnet{http://mi.mathnet.ru/pmtf1762}
\elib{https://elibrary.ru/item.asp?id=12846445}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 4
\pages 566--569
\crossref{https://doi.org/10.1007/s10808-009-0076-0}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1762
  • https://www.mathnet.ru/eng/pmtf/v50/i4/p28
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
    Statistics & downloads:
    Abstract page:28
    Full-text PDF :17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024